122311300301201 has 32 divisors (see below), whose sum is σ = 138908670854400. Its totient is φ = 106677813760000.

The previous prime is 122311300301093. The next prime is 122311300301249. The reversal of 122311300301201 is 102103003113221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122311300301201 - 2²² = 122311296106897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122311300301291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30280001 + ... + 34080801.

It is an arithmetic number, because the mean of its divisors is an integer number (4340895964200).

Almost surely, 2^{122311300301201} is an apocalyptic number.

122311300301201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122311300301201 is a deficient number, since it is larger than the sum of its proper divisors (16597370553199).

122311300301201 is a wasteful number, since it uses less digits than its factorization.

122311300301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801481.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122311300301201 its reverse (102103003113221), we get a palindrome (224414303414422).

The spelling of 122311300301201 in words is "one hundred twenty-two trillion, three hundred eleven billion, three hundred million, three hundred one thousand, two hundred one".